Helen has 48 cubic inches of clay to make a solid right pyramid with a base edge measuring 6 inches. which is the slant height of the pyramid if helen uses all the clay?

a. 3 inches
b. 4 inches
c. 5 inches
d. 6 inches

we know that

The volume of the pyramid is equal to

where B is the area of the base

h is the height of the pyramid

Step

Find the height of the pyramid

we know that

the base is a square

so

Step

Find the slant height of the pyramid

we know that

Applying the Pythagorean Theorem

where

l is the slant height

h is the height of the pyramid

b is a base edge of the pyramid

Substitute

therefore

the answer is the option

C. 5 inches

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)